137664644700 has 144 divisors (see below), whose sum is σ = 434677178880. Its totient is φ = 33361152000.

The previous prime is 137664644683. The next prime is 137664644707. The reversal of 137664644700 is 7446466731.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137664644700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137664644707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11976556 + ... + 11988044.

It is an arithmetic number, because the mean of its divisors is an integer number (3018591520).

Almost surely, 2^137664644700 is an apocalyptic number.

137664644700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137664644700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217338589440).

137664644700 is an abundant number, since it is smaller than the sum of its proper divisors (297012534180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137664644700 is a wasteful number, since it uses less digits than its factorization.

137664644700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15148 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 137664644700 in words is "one hundred thirty-seven billion, six hundred sixty-four million, six hundred forty-four thousand, seven hundred".